226669

Palgrave Macmillan, Basingstoke

2013

306 Pages

ISBN 978-0-230-36549-0

Plato's problem

an introduction to mathematical Platonism

Marco Panza, Andrea Sereni

What is mathematics about? And how can we have access to the reality it is supposed to describe? The book tells the story of this problem, first raised by Plato, through the views of Aristotle, Proclus, Kant, Frege, Gödel, Benacerraf, up to the most recent debate on mathematical platonism.

Publication details

DOI: 10.1057/9781137298133

Full citation:

Panza, M. , Sereni, A. (2013). Plato's problem: an introduction to mathematical Platonism, Palgrave Macmillan, Basingstoke.

Table of Contents

Introduction

Panza Marco; Sereni Andrea

1-15

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The origins

Panza Marco; Sereni Andrea

16-44

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From Frege to Gödel (through Hilbert)

Panza Marco; Sereni Andrea

45-98

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Benacerraf's arguments

Panza Marco; Sereni Andrea

99-111

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Non-conservative responses to Benacerraf's dilemma

Panza Marco; Sereni Andrea

112-148

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Conservative responses to Benacerraf's dilemma

Panza Marco; Sereni Andrea

149-195

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The indispensability argument

Panza Marco; Sereni Andrea

196-216

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The indispensability argument

Panza Marco; Sereni Andrea

217-249

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Concluding remarks

Panza Marco; Sereni Andrea

250-254

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